4.7 Article

About derivatives of Heun's functions from polynomial transformations of hypergeometric equations

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 209, Issue 2, Pages 421-424

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2008.12.049

Keywords

Heun's differential equations; Hypergeometric functions

Funding

  1. Abdus Salam International Centre for Theoretical Physics (ICTP, Trieste, Italy)
  2. Daniel Iagolnitzer Foundation (DIF)

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We discuss how the derivative of solutions of some Heun's differential equations can be given, in some particular cases, from the solution of another Heun's equation. This work uses some algebraic links between Heun and hypergeometric equations. (C) 2008 Elsevier Inc. All rights reserved.

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